Which of the following equations represent nonlinear functions?
A. Y=5-2/3x
B. y=x^2+7
C. y=1.5x-0.25
D. Y=3
F. Y= 10/x+20
f and b?
ABCDF?
Yes both f and b are nonlinear. When plugged into a graphing calculator they are the only lines that aren't straight plus you should immediately know if it's squared it is going to be a parabola.
Oh ok lol thanks. Sorry to bother you.
To determine if an equation represents a nonlinear function, we need to check if the equation follows a linear pattern.
A linear function has the form y = mx + b, where m represents the slope and b represents the y-intercept.
Let's analyze the given equations:
A. Y = 5 - 2/3x
This equation is linear since it can be written in the form y = mx + b, where m = -2/3 and b = 5.
B. y = x^2 + 7
This equation is nonlinear because it contains a squared term (x^2), which does not follow a linear pattern.
C. y = 1.5x - 0.25
This equation is linear since it can be written in the form y = mx + b, where m = 1.5 and b = -0.25.
D. Y = 3
This equation is linear but also a special case of a horizontal line since it has no x-term. It can be written in the form y = mx + b, where m = 0 and b = 3.
F. Y = 10/x + 20
This equation is nonlinear because it involves a variable in the denominator (x). Nonlinear functions cannot be written in the form y = mx + b, where m and b are constants.
So, the nonlinear equations are B (y = x^2 + 7) and F (Y = 10/x + 20).